A topologically minimal canonical Heegaard splitting of a surface bundle is critical

作者：E, Qiang^*

来源：Journal of Knot Theory and Its Ramifications, 2018, 27(5): 1850034.

DOI：10.1142/S0218216518500347

• 3-Manifolds
• Heegaard surfaces
• surface bundles
• topologically minimal surfaces

Every surface bundle with genus g fiber has a canonical Heegaard splitting of genus 2g + 1. In this paper, we discuss the topological indices of such Heegaard surfaces and prove the canonical Heegaard splitting of a surface bundle is topologically minimal if and only if it is critical, that is, its topological index is 2.

• 出版日期2018-4
• 单位大连海事大学